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Finding the Fourth Proportional to 3,145.73, 4,716.98 and 1,170.55

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Solution

The fourth proportional to 3,145.73, 4,716.98 and 1,170.55 is: 1,755.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.73 : 4,716.98 = 1,170.55 : x
  2. Step 2: Convert to fraction form
    3,145.73/4,716.98 = 1,170.55/x
  3. Step 3: Cross multiply
    3,145.73x = 4,716.98 × 1,170.55
  4. Step 4: Simplify right side
    3,145.73x = 5,521,431.50
  5. Step 5: Solve for x
    x = 5,521,431.50/3,145.73
  6. Step 6: Final answer
    x = 1,755.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.